CN106525301A - Force and displacement measurement method and sensor based on distributed optical fiber sensing - Google Patents

Force and displacement measurement method and sensor based on distributed optical fiber sensing Download PDF

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Publication number
CN106525301A
CN106525301A CN201611196028.2A CN201611196028A CN106525301A CN 106525301 A CN106525301 A CN 106525301A CN 201611196028 A CN201611196028 A CN 201611196028A CN 106525301 A CN106525301 A CN 106525301A
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thin wall
strain
wall circular
displacement
optical fiber
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CN106525301B (en
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朱鸿鹄
王德洋
施斌
李飞
许星宇
朱泳
董文文
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Nanjing University
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Nanjing University
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    • GPHYSICS
    • G01MEASURING; TESTING
    • G01LMEASURING FORCE, STRESS, TORQUE, WORK, MECHANICAL POWER, MECHANICAL EFFICIENCY, OR FLUID PRESSURE
    • G01L1/00Measuring force or stress, in general
    • G01L1/24Measuring force or stress, in general by measuring variations of optical properties of material when it is stressed, e.g. by photoelastic stress analysis using infrared, visible light, ultraviolet
    • G01L1/247Measuring force or stress, in general by measuring variations of optical properties of material when it is stressed, e.g. by photoelastic stress analysis using infrared, visible light, ultraviolet using distributed sensing elements, e.g. microcapsules
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01BMEASURING LENGTH, THICKNESS OR SIMILAR LINEAR DIMENSIONS; MEASURING ANGLES; MEASURING AREAS; MEASURING IRREGULARITIES OF SURFACES OR CONTOURS
    • G01B11/00Measuring arrangements characterised by the use of optical techniques
    • G01B11/02Measuring arrangements characterised by the use of optical techniques for measuring length, width or thickness

Abstract

The invention discloses a force and displacement measurement method and sensor based on distributed optical fiber sensing. A distributed strain sensing fiber is pasted to the side wall of a thin wall metal ring in a circle by using epoxy resin glue along a full length. Fiber demodulation equipment and the distributed strain sensing fiber pasted to the side wall of the thin wall metal ring are connected in series through a signal transmission fiber and are connected to a computer through a serial port and a network cable. After applying force to the vertex of the thin wall metal ring or the displacement of the thin wall metal ring, the fiber demodulation equipment and the computer are used to collect and record the circumferential strain distribution of the thin wall metal ring under a loading effect. A moving average method is used to carry out smooth processing on strain monitoring data, the fitting is carried out when the strain data is in accordance with a trigonometric function so as to calculate the maximum circumferential strain value of the thin wall metal ring, and thus the force and displacement are calculated. Through a calibration test, the strain value, the action force of the vertex of the thin wall metal ring, and a corresponding displacement linear relationship are obtained, and the calibration coefficient of the sensor is obtained on the above basis.

Description

A kind of power and displacement measurement method and sensor based on distributed fibre optic sensing
Technical field
A kind of the invention belongs to fiber optic sensor technology field, more particularly to power and displacement based on distributed fibre optic sensing Measuring method and sensor.
Background technology
Thin-wall metal circular ring is widely used in traditional earthwork test Instrument as force transducer, such as non-confining strength Degree tester, triaxial apparatus, direct shear apparatus etc..These instruments be by dial gauge, amesdial read deformation of the annulus under load come Realize the measurement of power.But in most cases, this method certainty of measurement is relatively low, and range ability is less, and need regularly to mark It is fixed.Still an alternative is that foil gauge is attached on metal ring with adhesive constituting resistance bridge, then strain is caused Resistance variations be converted into voltage signal.The defect of the method is that test reading is forbidden by electromagnetic interference, reading easily.Due to power and The Measurement reliability of displacement is poor, seriously hinders the development of earthwork test Instrument.
In recent years, Distributed Optical Fiber Sensing Techniques have obtained the development advanced by leaps and bounds.The technology can be with Quick Acquisition to light The optical signal of fine optional position, and optical fiber is obtained along the strain of all positions of total length, temperature etc. with reference to related transducer principle Physical parameter, realizes the distributed monitoring that routine monitoring technology is difficult to.In addition the technology have data volume it is big, without electromagnetism Interference, it is full-automatic, can remote monitoring the features such as.Just because of these advantages, distributed optical fiber sensing technology is by more and more It is applied in all kinds of engineering structure monitorings and laboratory test.
Brillouin optical time domain analysis (BOTDA), Brillouin light Time Domain Reflectometry (BOTDR) distributed optical fiber sensing technology Principle is using between the Brillouin scattering frequency variation (frequency shift amount) in optical fiber and optical fiber axial direction strain or ambient temperature Linear relationship realizing sensing, the relation can be expressed as:
In formula:νB(ε,T)、νB0,T0) it is respectively the frequency shift amount for measuring Brillouin scattering in forward and backward optical fiber;ε、ε0Point Axial strain before and after Wei not testing;T、T0Temperature value before and after respectively testing.Proportionality coefficientWith's Value is respectively 0.05MHz/ μ ε and 1.2MHz/ DEG C.
The content of the invention
It is an object of the present invention to provide a kind of power and displacement measurement method and sensor based on distributed fibre optic sensing, So that power, displacement data measured by soil test are more accurate, reliable, and automatic measurement is realized, so as to thoroughly solve Existing earthwork test Instrument is low to power, displacement measurement accuracy, by defects such as electromagnetic interference.
For solving the above problems, the present invention is employed the following technical solutions:It is a kind of to be based on distributed fibre optic sensing power and displacement Measuring method, comprise the steps:
Step one, one thin wall circular of offer, paste distributed strain sensing optical fiber on the side wall of the thin wall circular, use Signal transmission fiber is connected to optical fiber demodulating apparatus;
Step 2, in the thin wall circular apex applying power or displacement, make to paste the distribution on thin-wall circular ring-side wall There is strain in formula straining and sensing optical fiber, with optical fiber demodulating apparatus and computer acquisition, record the hoop strain of the thin wall circular Distribution measured value;
Step 3, using moving average method to strain Monitoring Data be smoothed, the strain data after smoothing processing Meet trigonometric function feature, be fitted in the form of cosine function ε (x)=a cos [b (x-c)]+d, in formula:Parameter a represents plan The maximum ring strain value that conjunction is obtained;Parameter b is to eliminate function cycle error;Parameter c is to eliminate present in loading partially Heart error;Parameter d is to eliminate the error that temperature change is brought;X represents the distance away from thin wall circular bottom;ε (x) represents thin-walled Hoop strain value of the annulus under a constant load, displacement;Draw thin wall circular under a constant load, displacement according to fit equation Maximum ring strain value | ε |max
Step 4, derived by theoretical formula and learnt, the active force of thin wall circular apex and displacement are with thin wall circular most There is linear relationship, i.e. F=K in big hoop strain value1×|ε|maxWith Δ D=K2×|ε|max, in formula:F is represented and is acted on thin-walled Power on annulus;Δ D represents the displacement that thin wall circular apex occurs;K1、K2Respectively constant, is determined by rating test;By Above formula calculates the power corresponding to certain maximum hoop strain measured value and displacement.
Rating test described in step 4, comprises the steps:First, distributed strain sensing optical fiber has been pasted Thin wall circular is placed on loading bench, is classified active force and the displacement for applying known dimensions in thin wall circular apex, is made thin-walled There is hoop strain in annulus, record the hoop strain measured value of thin wall circular under loads at different levels;Secondly, hoop strain measured value is carried out Smoothing processing and fitting, obtain the maximum ring strain value of thin wall circular under loads at different levels accordingly;Finally, set up thin wall circular most Big linear relationship between hoop strain value and active force, displacement, i.e. F=K1×|ε|maxWith Δ D=K2×|ε|max, using line Property homing method calculates calibration coefficient K1、K2Size.
A kind of sensor device in the described measuring method based on distributed fibre optic sensing power and displacement, mainly Including distributed strain sensing optical fiber, thin wall circular, signal transmission fiber, optical fiber demodulating apparatus and computer;Distributed strain Sensing optical fiber is serially connected with optical fiber demodulating apparatus by signal transmission fiber, computer and optical fiber demodulating apparatus using serial ports, Netting twine connects;Described distributed strain sensing optical fiber is pasted on thin-wall circular ring-side wall.
The thin wall circular is made using the metal material with linear elasticity strain-stress relation.
Whole distributed strain sensing optical fiber is tightly pasted on the side wall of thin wall circular along total length epoxy resin, is made Which is pasted firmly with annulus.
Mutual welding between the distributed strain sensing optical fiber and signal transmission fiber, and welding is protected with heat-shrinkable T bush Point.
Beneficial effect:
(1) according to mechanical analyses, exist between thin wall circular apex active force and displacement and maximum hoop strain preferable Linear relationship, be derived from calibration coefficient K1And K2
(2) a kind of power and displacement measurement method based on distributed fibre optic sensing is proposed, is realized to thin wall circular deformation In high precision, automatically, distributed testing, overcomes the problems such as traditional method efficiency is low, error is big, Monitoring Data amount is little;
(3) install using the present invention that simple, measurement is accurate, high degree of automation, cost performance are good.
Description of the drawings
Fig. 1 is the structural representation of the present invention;
Fig. 2 is the biosensor assay schematic device of distribution type fiber-optic dynamometry and displacement in embodiment;Wherein, 1 is distribution Formula straining and sensing optical fiber, 2 is thin wall circular, 3 signal transmission fibers, and 4 is computer, and 5 is optical fiber demodulating apparatus, and 6 is omnipotent examination Test machine.
Fig. 3 is fibre strain reading and fitted figure in the embodiment of the present invention;
Fig. 4-5 is the comparison between Theoretical Calculation and actually measured value in the embodiment of the present invention;
Specific embodiment
Technical scheme is more specifically described below in conjunction with drawings and Examples.
A kind of distribution type fiber-optic force cell, including distributed strain sensing optical fiber, thin wall circular, signal light transmission Fine, optical fiber demodulating apparatus and computer.Optical fiber demodulating apparatus with paste the distribution on thin-wall circular ring-side wall (inwall or outer wall) Formula straining and sensing optical fiber is serially connected by signal transmission fiber, and computer and optical fiber demodulating apparatus are connected using serial ports, netting twine.
Used as the further optimization of such scheme, the thin wall circular is using the gold with linear elasticity strain-stress relation Category material is made, such as rustless steel, aluminium alloy etc..
As the further optimization of such scheme, in order to there is concordance in the deformation for ensureing optical fiber and metal ring, will be whole Root distributed strain sensing optical fiber is tightly pasted on the thin-wall circular ring-side wall along total length epoxy resin, is placed in interior 24h so as to paste firmly with annulus.As optical fiber is soft, the mode that only total length is pasted just can guarantee that optical fiber and thin-walled Circle ring-side wall is uniformly close to, and the mode such as pastes using colligation, fixed point and can cause measurement error.
As the further optimization of such scheme, between the distributed strain sensing optical fiber and signal transmission fiber mutually Welding, and fusion point is protected with heat-shrinkable T bush.
In such scheme, in the thin wall circular apex applying power or displacement, make to paste on thin-wall circular ring-side wall Distributed strain sensing optical fiber there is strain, with optical fiber demodulating apparatus and computer acquisition, record the ring of the thin wall circular To strain value;
Further, it is smoothed to straining Monitoring Data using moving average method, the dependent variable after smoothing processing According to trigonometric function feature is met, it is fitted in the form of cosine function ε (x)=a cos [b (x-c)]+d, in formula:Parameter a=| ε |maxThe maximum ring strain value that fitting is obtained is represented, to eliminate function cycle error, parameter c is to eliminate in loading for parameter b The eccentric error of presence, parameter d represent the distance away from thin wall circular bottom to eliminate the error that temperature change is brought, x,;ε X () represents hoop strain value of the thin wall circular under a constant load, displacement.On the one hand can be reflected very well using the fitting function The strain curve feature of thin wall circular, still further aspect are can to eliminate various errors in test due to the fit approach, are improved Measuring accuracy.Maximum ring strain value | the ε | of thin wall circular under a constant load, displacement is drawn according to fit equationmax
Further, according to F=K1×|ε|maxWith Δ D=K2×|ε|max, thin wall circular is obtained by maximum ring strain value The amount of force of apex and corresponding displacement, in formula:F represents the power acted in thin wall circular;Δ D represents thin wall circular The displacement that apex occurs;K1、K2Respectively constant, is determined by rating test.In such scheme, pushed away by theoretical formula Lead and learn, the active force of thin wall circular apex and displacement have above-mentioned linear pass with thin wall circular maximum ring strain value System.
Further, in order to obtain calibration coefficient K1、K2, the thin wall circular for having pasted distributed strain sensing optical fiber is put Put on loading bench, distributed strain sensing optical fiber is connected to into optical fiber demodulating apparatus with signal transmission fiber, optical fibre interrogation sets Standby connection computer;Apply the active force of known dimensions and displacement in thin wall circular apex, make to paste in thin-wall circular ring-side wall On distributed strain sensing optical fiber there is strain, with optical fiber demodulating apparatus, computer acquisition, record the ring of the thin wall circular To strain measured value;Strain data is smoothed using moving average method, and is fitted using cosine function.According to plan Close equation and draw maximum ring strain value of the thin wall circular under a constant load;By changing the effect being applied in thin wall circular Power and displacement, obtain maximum ring strain value of the thin wall circular under different active forces, displacement.According to formula F=K1×|ε|max With Δ D=K2×|ε|maxCalculate calibration coefficient K1、K2Size.
The principle of the invention:Annulus is measured using the distributed strain sensing optical fiber pasted in thin wall circular to use in outer masterpiece The hoop strain of lower generation;The strain value of distributed strain sensing optical fiber is collected by optical fiber demodulating apparatus and computer;To receiving The strain data for collecting carries out smooth and process of fitting treatment, obtains the maximum ring strain value of thin wall circular;According to thin wall circular top Linear relationship at point between active force and corresponding displacement and maximum ring strain value is calculated exerts oneself and displacement.
Embodiment 1
Such as Fig. 2, a kind of distribution type fiber-optic dynamometry and displacement transducer, including distributed strain sensing optical fiber 1, thin wall circular 2nd, signal transmission fiber 3, computer 4, optical fiber demodulating apparatus 5, universal testing machine 6.In order to ensure optical fiber and gold in methods described There is concordance in the deformation of category annulus, distributed strain sensing optical fiber 1 is pasted in thin wall circular 2 with glue such as epoxy resin Outer wall, is placed in indoor 24h so as to paste firmly with 2 surface of thin wall circular.The optical fiber demodulating apparatus 5 with paste in thin-walled The distributed strain sensing optical fiber 1 of 2 side wall of annulus is serially connected by signal transmission fiber 3.The distributed strain senses light The mutual weld of fibre 1 and signal transmission fiber 3 is cased with heat-shrinkable T bush protection.The reading of the distributed strain sensing optical fiber 1 By 4 automatic data collection of optical fiber demodulating apparatus 5 and computer.Optical fiber employed in embodiment is the single mode list of a diameter of 0.9mm Core tightly packaged fiber.
Described device is loaded using at the uniform velocity displacement load mode on universal testing machine 6, aobvious on universal testing machine 6 Show the strength and the displacement relation curve in instrument record loading procedure, the measured value be used for verifying the active force that fibre strain extrapolates, The accuracy of displacement.
When 2 apex of thin wall circular is acted on by power, the distributed sensing fiber on 2 side wall of thin wall circular is pasted 1 there is strain, and the strain will set will the Brillouin scattering frequency shifts on distributed strain sensing optical fiber, optical fibre interrogation It is standby to measure the frequency shift amount in real time, so as to obtain the hoop strain distribution situation of metal ring.In order to eliminate measurement error, adopt With moving average method to being smoothed to measured strain data.
Assume thin wall circular occurs under radial forces ellipticity deform, then in thin wall circular each point radial displacement For:
In formula:Y is the radial displacement of each point in thin wall circular;For azimuth;Δ D is diameter change amount.According further to power , in thin wall circular, between the radial displacement of each point and moment of flexure, there is following relation in theory:
In formula:For thin wall circular institute bending moment;Elastic modelling quantity of the E for thin wall circular;Inertia of the I for thin wall circular Square;Radiuses of the R for thin wall circular.Obtained by above formula:In formula:D is straight for thin wall circular Footpath.WhenWhen, the maximum hoop strain of thin wall circular isIn formula:D for thin wall circular thickness one Half.The formula is rewritable to beIn formula:K2For the calibration coefficient of displacement, rating test can be passed through Obtain.
According to the thin wall circular Stress calculation formula of Timoshenko in Elasticity, certain radial force effect can be obtained The formula of the inside and outside wall hoop strain ε of lower thin wall circular
In formula:Thickness of the ω for thin wall circular;Width of the δ for thin wall circular;F is suffered by unit thickness in thin wall circular The contrary radial forces of both direction;θ is azimuth;RaFor the central diameter of metal ring;Elastic modelling quantity of the E for thin wall circular. When θ=90 °, the absolute value of thin-wall circular hoop strain reaches maximum, andIt is further converted intoIn formula:K1For the calibration coefficient of power, can be obtained by rating test.
The embodiment of rating test includes:Rightabout radial effect is applied to metal ring using charger Power, etc. the hoop strain reading for recording thin wall circular after stable reading, then multistage loadings, record strain data successively.
Measured reading strain moving average method is smoothed to data, the thin-wall circular obtained by smoothing processing Ring hoop strain reading carries out the form fitting of cosine function ε (x)=a cos [b (x-c)]+d, in formula:Parameter a=| ε |maxTable Show the maximum ring strain value that fitting is obtained, parameter b is present to eliminate in loading to eliminate function cycle error, parameter c Eccentric error, parameter d is to eliminate the error that temperature change is brought.Show that thin wall circular is corresponding under every grade of load accordingly Maximum ring strain value | ε |max
The size of active force and displacement is drawn according to theoretical formula method, the display instrument reading that last and charger is carried Contrasted.And draw the relation curve of Theoretical Calculation active force and displacement and actual measured value.As shown in Figures 4 and 5, from figure It can be seen that the result of calculation and actual measured value of power and displacement measurement method based on distributed fibre optic sensing are closely.
There is relation F=K between the active force of thin wall circular apex and displacement and maximum hoop strain1×|ε|max With Δ D=K2×|ε|max, the result obtained according to above step calculates calibration coefficient K1And K2Size.The calibration coefficient can Using the design parameter as sensor.
It should be noted that in addition to the implementation, the present invention can also have other embodiment.All employing equivalents Or the technical scheme that equivalent transformation is formed, all fall within the protection domain of patent requirements of the present invention.

Claims (6)

1. it is a kind of based on distributed fibre optic sensing power and the measuring method of displacement, it is characterised in that to comprise the steps:
Step one, one thin wall circular of offer, on the side wall of the thin wall circular paste distributed strain sensing optical fiber, use signal Transmission Fibers are connected to optical fiber demodulating apparatus;
Step 2, in the thin wall circular apex applying power or displacement, make to paste on thin-wall circular ring-side wall it is distributed should Become sensing optical fiber occur strain, with optical fiber demodulating apparatus and computer acquisition, record the thin wall circular hoop strain distribution Measured value;
Step 3, using moving average method to strain Monitoring Data be smoothed, the strain data after smoothing processing meets Trigonometric function feature, is fitted in the form of cosine function ε (x)=acos [b (x-c)]+d, in formula:Parameter a is represented and is fitted The maximum ring strain value for arriving;Parameter b is to eliminate function cycle error;Parameter c is to eliminate eccentric present in loading mistake Difference;Parameter d is to eliminate the error that temperature change is brought;X represents the distance away from thin wall circular bottom;ε (x) represents thin wall circular Hoop strain value under a constant load, displacement;Maximum of the thin wall circular under a constant load, displacement is drawn according to fit equation Hoop strain value | ε |max
Step 4, derived by theoretical formula and learnt, the active force of thin wall circular apex and displacement and thin wall circular maximum loop There is linear relationship, i.e. F=K to strain value1×|ε|maxWith Δ D=K2×|ε|max, in formula:F is represented and is acted on thin wall circular On power;Δ D represents the displacement that thin wall circular apex occurs;K1、K2Respectively constant, is determined by rating test;By the above Formula calculates the power corresponding to certain maximum hoop strain measured value and displacement.
2. according to claim 1 a kind of based on distributed fibre optic sensing power and the measuring method of displacement, it is characterised in that Rating test described in step 4, comprises the steps:First, the thin wall circular of distributed strain sensing optical fiber has been pasted It is placed on loading bench, is classified active force and the displacement for applying known dimensions in thin wall circular apex, occurs thin wall circular Hoop strain, records the hoop strain measured value of thin wall circular under loads at different levels;Secondly, hoop strain measured value is smoothed And fitting, the maximum ring strain value of thin wall circular under loads at different levels is obtained accordingly;Finally, setting up thin wall circular maximum ring should Linear relationship between variate and active force, displacement, i.e. F=K1×|ε|maxWith Δ D=K2×|ε|max, using linear regression side Method calculates calibration coefficient K1、K2Size.
3. the sensing in a kind of measuring method based on distributed fibre optic sensing power and displacement for described in claim 1 or 2 Device device, it is characterised in that mainly include that distributed strain sensing optical fiber, thin wall circular, signal transmission fiber, optical fibre interrogation set Standby and computer;Distributed strain sensing optical fiber is serially connected with optical fiber demodulating apparatus by signal transmission fiber, computer and Optical fiber demodulating apparatus are connected using serial ports, netting twine;Described distributed strain sensing optical fiber is pasted on thin-wall circular ring-side wall.
4. the sensor in the measuring method for based on distributed fibre optic sensing power and displacement according to claim 3 is filled Put, it is characterised in that the thin wall circular is made using the metal material with linear elasticity strain-stress relation.
5. the sensor in the measuring method for based on distributed fibre optic sensing power and displacement according to claim 3 is filled Put, it is characterised in that whole distributed strain sensing optical fiber is tightly pasted in the side of thin wall circular along total length epoxy resin On wall so as to paste firmly with annulus.
6. the sensor in the measuring method for based on distributed fibre optic sensing power and displacement according to claim 3 is filled Put, it is characterised in that mutual welding between the distributed strain sensing optical fiber and signal transmission fiber, and protected with heat-shrinkable T bush Shield fusion point.
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CN109974914A (en) * 2019-04-17 2019-07-05 福州大学 A kind of Mume flower contact distributed contact resistor pressure detection method and device

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